Search a number
-
+
20313222303132 = 223211173583842147
BaseRepresentation
bin1001001111001100010100…
…11001100100110110011100
32122220220222101111010102200
410213212022121210312130
510130302434402200012
6111111433203051500
74164403404460053
oct447461231446634
978826871433380
1020313222303132
116521875475390
122340a09070b90
13b446b457a145
1450324547539a
152535d82593dc
hex12798a664d9c

20313222303132 has 144 divisors (see below), whose sum is σ = 59326887739392. Its totient is φ = 5791808586240.

The previous prime is 20313222303089. The next prime is 20313222303139. The reversal of 20313222303132 is 23130322231302.

20313222303132 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 222 + 303 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20313222303096 and 20313222303105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313222303139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23699683 + ... + 24541829.

It is an arithmetic number, because the mean of its divisors is an integer number (411992275968).

Almost surely, 220313222303132 is an apocalyptic number.

20313222303132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313222303132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29663443869696).

20313222303132 is an abundant number, since it is smaller than the sum of its proper divisors (39013665436260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20313222303132 is a wasteful number, since it uses less digits than its factorization.

20313222303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845768 (or 845763 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20313222303132 its reverse (23130322231302), we get a palindrome (43443544534434).

The spelling of 20313222303132 in words is "twenty trillion, three hundred thirteen billion, two hundred twenty-two million, three hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 3583 6732 7166 10749 14332 21498 32247 39413 42996 60911 64494 78826 118239 121822 128988 157652 182733 236478 243644 354717 365466 472956 548199 670021 709434 730932 842147 1096398 1340042 1418868 1684294 2010063 2192796 2526441 2680084 3368588 4020126 5052882 6030189 7579323 8040252 9263617 10105764 12060378 14316499 15158646 18527234 24120756 27790851 28632998 30317292 37054468 42949497 55581702 57265996 83372553 85898994 111163404 128848491 157481489 166745106 171797988 257696982 314962978 333490212 472444467 515393964 629925956 944888934 1417333401 1889777868 2834666802 3017412701 5669333604 6034825402 9052238103 12069650804 18104476206 27156714309 33191539711 36208952412 51296015917 54313428618 66383079422 99574619133 102592031834 108626857236 132766158844 153888047751 199149238266 205184063668 298723857399 307776095502 398298476532 461664143253 564256175087 597447714798 615552191004 923328286506 1128512350174 1194895429596 1692768525261 1846656573012 2257024700348 3385537050522 5078305575783 6771074101044 10156611151566 20313222303132